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Singularities of weak solutions of elliptic equations with discontinuous leading coefficients.

โœ Scribed by E. M. Il'in


Publisher
Springer US
Year
1978
Tongue
English
Weight
406 KB
Volume
9
Category
Article
ISSN
1573-8795

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Weak Solutions of Nonlinear Elliptic Equ
โœ Yomna Rรฉbaฤฑ̈ ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 536 KB

Given 0 any open and bounded subset of R n , n 4, with smooth boundary and given 7 any (n&m)-dimensional compact submanifold of 0 without boundary, n>m>2, we prove the existence of weak solutions to the problem &2u=u p in 0 { u>0 in 0 u=0 on 0, which are singular on 7, when p is a real p>mร‚(m&2), c